Determine the value of the line integral ∫C∇f⋅dr⃗\int_C \nabla f \cdot d\vec{r}∫C∇f⋅dr where f(x,y,z)=x2+y2+z2f(x, y, z) = x^2 + y^2 + z^2f(x,y,z)=x2+y2+z2 and CCC is a closed curve.
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111
π\piπ
2π2\pi2π